MATLAB SIMULATION Q1 Using DC servo motors in the catalogues according to No. of Group as follows: Group Series Brand 1/21 KB402 2/22 KB404 Sanyo Denki 3/23 KB406 4/24 KB506 5/25 KB511 6 MT-2240-A 7 MT-2240-B 8 MT-2250-A Baldor 9 MT-2250-B 10 MT-3353-D 11 MT-3358-B 12 M4-2950 13 M4-2950 M4-295x 14 M4-2951 15 M4-2952 16 M4-2959 17 M4-4203 18 M4-4204 M4-420x 19 M4-4205 20 M4-4206 Each group has to choose the load parameters including soft-coupling stiffness (KL), inertia moment (JL), and viscous damping (DL) to satisfy the condition: 3 ≤ 𝑁𝐿 ≤ 10 (at least 2 different loads in this range) and the damping factor for all loads: 𝜉 = 0.002 Requirements: Simulate position control of a single axis servo system at 3 different speed levels: - High speed: using 4th order transfer function Middle speed: using 2nd order transfer function Low speed: using 1st order transfer function Q 2: Each group uses the motor in question 1. Write the PID algorithm using m-file of Matlab to simulate to velocity control of the motor. The algorithm has to include the derivative filter for Dterm and anti-windup for I-term. Illustrate the effect of anti-windup in your results? Write a report for both questions to show all your results including the mathematical models, the calculations to obtain the control parameters and the simulation results? Give your comments.